Convergence of the modified SOR–Newton method for non-smooth equations
DOI10.1080/00207160.2012.758841zbMath1282.65058OpenAlexW2051615254MaRDI QIDQ2855775
Li Wang, Xiaoxia Zhou, Qingsheng Liu
Publication date: 22 October 2013
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2012.758841
computational complexityconvergencenumerical resultsmagnetohydrodynamicssuccessive overrelaxation (SOR)locally Lipschitz continuousSOR-Newton methodClarke generalized derivativesystem of non-smooth equations
Numerical computation of solutions to systems of equations (65H10) Magnetohydrodynamics and electrohydrodynamics (76W05)
Cites Work
- Approximation of a nondifferentiable nonlinear problem related to MHD equilibria
- Non-smooth SOR for \(L ^{1}\)-fitting: convergence study and discussion of related issues
- A two-step SOR-Newton method for nonsmooth equations
- On a new class parametrized Newton-like method for semismooth equations
- Secant methods for semismooth equations
- Approximate Newton methods for nonsmooth equations
- A nonsmooth version of Newton's method
- A generalized Jacobian based Newton method for semismooth block-triangular system of equations
- On the convergence of Newton's method for a class of nonsmooth operators
- Efficient continuation Newton-like method for solving systems of non-linear equations
- On the secant method for solving nonsmooth equations
- On convergence of SOR methods for nonsmooth equations
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